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<p>This work introduces a supersymmetric (SUSY) extension of the Deutsch–Jozsa algorithm, leveraging superqubits and supergates to enhance quantum computational efficiency. We present a theoretical framework for SUSY-based quantum information processing, demonstrating how superqubit manipulation via supergates preserves the exponential speedup of the Deutsch–Jozsa algorithm while improving resource utilization. Numerical simulations using Qiskit validate the protocol’s advantages over conventional quantum approaches. Additionally, we establish foundational connections between supersymmetry and quantum computing, highlighting potential applications in cryptography and optimization.</p>

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Supersymmetric extension of Deutsch–Jozsa algorithm

  • 期刊论文

  • 发表日期：

    2025年5月15日

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  • Abdeslem Khemakhmia,
  • Habib Aissaoui

摘要

This work introduces a supersymmetric (SUSY) extension of the Deutsch–Jozsa algorithm, leveraging superqubits and supergates to enhance quantum computational efficiency. We present a theoretical framework for SUSY-based quantum information processing, demonstrating how superqubit manipulation via supergates preserves the exponential speedup of the Deutsch–Jozsa algorithm while improving resource utilization. Numerical simulations using Qiskit validate the protocol’s advantages over conventional quantum approaches. Additionally, we establish foundational connections between supersymmetry and quantum computing, highlighting potential applications in cryptography and optimization.